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Simplifying log(3120 + x) = log(5) * x (3120 * glo + x * glo) = log(5) * x (3120glo + glox) = log(5) * x Reorder the terms for easier multiplication: 3120glo + glox = 5glo * x Multiply glo * x 3120glo + glox = 5glox Solving 3120glo + glox = 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glox' to each side of the equation. 3120glo + glox + -5glox = 5glox + -5glox Combine like terms: glox + -5glox = -4glox 3120glo + -4glox = 5glox + -5glox Combine like terms: 5glox + -5glox = 0 3120glo + -4glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(780 + -1x) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(780 + -1x)' equal to zero and attempt to solve: Simplifying 780 + -1x = 0 Solving 780 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-780' to each side of the equation. 780 + -780 + -1x = 0 + -780 Combine like terms: 780 + -780 = 0 0 + -1x = 0 + -780 -1x = 0 + -780 Combine like terms: 0 + -780 = -780 -1x = -780 Add 'x' to each side of the equation. -1x + x = -780 + x Combine like terms: -1x + x = 0 0 = -780 + x Simplifying 0 = -780 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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